Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Powers and Exponents

1.
Powers and Exponents

2.
Multiplication = short-cut addition <ul><li>When you need to add the same number to itself over and over again, </li></ul><ul><li>multiplication is a short-cut way to write the addition problem . </li></ul><ul><li>Instead of adding 2 + 2 + 2 + 2 + 2 = 10 </li></ul><ul><li>multiply 2 x 5 (and get the same answer) = 10 </li></ul>

3.
Powers = short-cut multiplication <ul><li>When you need to multiply the same number by itself over and over again, </li></ul><ul><li>powers are a short-cut way to write the multiplication problem . </li></ul><ul><li>Instead of multiplying 2 x 2 x 2 x 2 x 2 = 32 </li></ul><ul><li>Use the power 2 5 (and get the same answer) = 32 </li></ul>

4.
<ul><li>A power = </li></ul><ul><li>a number written as </li></ul><ul><li>a base number with an exponent. </li></ul><ul><li>base exponent </li></ul><ul><li>Like this: </li></ul><ul><li>2 5 say 2 to the 5th power </li></ul>

14.
When the exponent is 0 , <ul><li>and the base is any number but 0, the answer is 1 . </li></ul><ul><li>2 0 = 1 </li></ul><ul><li>4,638 0 = 1 </li></ul><ul><li>Any number (except the number 0) 0 = 1 </li></ul><ul><li>0 0 = undefined </li></ul>

15.
When the exponent is 1 , <ul><li>the answer is the same number as the base number . </li></ul><ul><li>2 1 = 2 </li></ul><ul><li>4,638 1 = 4,638 </li></ul><ul><li>any number 1 = the same base “any number” </li></ul><ul><li>0 1 = 0 </li></ul>

22.
Congratulations! <ul><li>Now you know how to write a multiplication problem as a product using factors, or as a power using exponents (this can be called exponential form ). </li></ul><ul><li>You know how to (evaluate) find the value (answer) of a power. </li></ul>